Mortgage Calculation Methodology & US Standards
Transparent explanation of the mathematical formulas, escrow assumptions, and amortization rules powering the Manshory.com Mortgage Estimator.
1. Standard Fixed-Rate Amortization Formula
Manshory.com calculates monthly Principal & Interest (M) using the standard United States fixed-rate mortgage amortization equation:
- P (Principal Loan Amount): Home Purchase Price minus Down Payment Amount.
- r (Monthly Interest Rate): Annual Interest Rate divided by 12 and converted from a percentage (APR ÷ 100 ÷ 12).
- n (Total Payments): Loan Term in years multiplied by 12 (180 months for 15-year, 240 for 20-year, or 360 for 30-year).
- 0% Rate Edge Case: When the interest rate is set to 0%, monthly principal equals P / n.
2. Worked Numerical Example
Consider a $400,000 US home purchase with a 20% down payment ($80,000) and a 30-year fixed loan at 6.50% APR:
- Loan Amount (P) = $320,000
- Monthly Interest Rate (r) = 6.50% ÷ 12 = 0.00541667
- Total Payments (n) = 360 months
- Monthly Principal & Interest = $2,022.62 ($2,023 rounded)
- Estimated Property Tax ($4,800/yr ÷ 12) = $400/month
- Estimated Homeowners Insurance ($1,500/yr ÷ 12) = $125/month
- Total Monthly Housing Cost = $2,547.62/month
3. Escrow, PMI & Extra Principal Payments
Annual property taxes and homeowners insurance are divided evenly by 12 to mirror standard US lender escrow impound accounts. When your down payment is below 20% (Loan-to-Value above 80%), our estimator suggests a typical conventional PMI rate of 0.58% annually of the loan balance unless you enter a custom monthly PMI amount.
In the amortization schedule, any extra monthly principal payment is applied directly to the remaining loan balance each month after scheduled interest is satisfied, allowing you to measure exact months saved and lifetime interest savings.